document.write( "Question 783473: 99, 98, 94, 85, 69 what is the next number in this series \n" ); document.write( "

Algebra.Com's Answer #476803 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "First thing to do is recognize that this is not a series. It is a sequence.\r
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is a series.\r
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document.write( "99  98  94  85   69    Starting with the 2nd term. Subtract each term from\r\n" );
document.write( "   1   4   9   16      the term immediately to its left.\r\n" );
document.write( "    -3  -5  -7         Repeat\r\n" );
document.write( "       2   2           Stop here because the results of two adjacent subtractions were equal\r\n" );
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document.write( "Since the last row shows equal results, a 3rd element in that last row would have also been 2, so write that in\r\n" );
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document.write( "99  98  94  85   69     \r\n" );
document.write( "   1   4   9   16       \r\n" );
document.write( "    -3  -5  -7         \r\n" );
document.write( "       2   2   2          \r\n" );
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document.write( "That 2 would have been the result of a previous subtraction, so put in a -9 i the row above\r\n" );
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document.write( " 99  98  94  85   69     \r\n" );
document.write( "   1   4   9   16       \r\n" );
document.write( "    -3  -5  -7   -9      \r\n" );
document.write( "       2   2   2  \r\n" );
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document.write( "Then a 25 in the row above that, and finally put in the 44 (69 - 25) which is the desired next term.\r\n" );
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document.write( " 99  98  94  85   69  44   \r\n" );
document.write( "   1   4   9   16   25     \r\n" );
document.write( "    -3  -5  -7   -9      \r\n" );
document.write( "       2   2   2      \r\n" );
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\n" ); document.write( "John
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\n" ); document.write( "Egw to Beta kai to Sigma
\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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